From Dimension-Free Matrix Theory to Cross-Dimensional Dynamic Systems illuminates the underlying mathematics of semi-tensor product (STP), a generalized matrix product that extends the conventional matrix product to two matrices of arbitrary dimensions. Dimension-varying systems feature prominently across many disciplines, and through innovative applications its newly developed theory can revolutionize large data systems such as genomics and biosystems, deep learning, IT, and information-based engineering applications.
Provides, for the first time, cross-dimensional system theory that is useful for modeling dimension-varying systems.
Offers potential applications to the analysis and control of new dimension-varying systems.
Investigates the underlying mathematics of semi-tensor product, including the equivalence and lattice structure of matrices and monoid of matrices with arbitrary dimensions.
Автор: Bracci Название: Geometric Function Theory in Higher Dimension ISBN: 3319731254 ISBN-13(EAN): 9783319731254 Издательство: Springer Рейтинг: Цена: 9390.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The book collects the most relevant outcomes from the INdAM Workshop "Geometric Function Theory in Higher Dimension" held in Cortona on September 5-9, 2016. In particular, it offers a selection of original contributions on Loewner theory in one and higher dimensions, semigroups theory, iteration theory and related topics.
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